Calculating Phase Difference and Zero Point of Two Sinusoidal Waves

AI Thread Summary
To calculate the phase difference between the two sinusoidal waves at x = 5.00 cm and t = 2.00 s, the phase of each wave must be evaluated using their respective equations. The phase difference can be determined by subtracting the phase of one wave from the other at the specified point in time. Additionally, to find the positive x value closest to the origin where the two phases differ by π (resulting in the waves adding to zero), the conditions of the wave equations must be analyzed. The solution involves solving for the points where the combined wave function equals zero. The discussion emphasizes the importance of understanding wave phases and their interactions.
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Homework Statement



Two sinusoidal waves in a string are defined by the functions
y1 = (2.00 cm) sin(20.0x – 32.0t) and
y2 = (2.00 cm) sin(25.0x – 40.0t) where y and x are in centimeters and t is in seconds.
(a) What is the phase difference between these two waves at the point x = 5.00 cm at t = 2.00 s?
(b) What is the positive x value closest to the origin for which the two phases differ by at t = 2.00 s? (This is where the two waves add to zero.)


Homework Equations





The Attempt at a Solution

 
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